Mathematics High School

Suppose that y varies directly with x and y=20 , when x =8

a : write a direct variation equation that relates x and y ??

b : find y when x =3 ??

Answers

Answer 1

Answer:

y = 7.5

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 8

20 = 8k ( divide both sides by 8 )

2.5 = k

(a)

y = 2.5x ← equation of variation

(b)

When x = 3 , then

y = 2.5 × 3 = 7.5

Related Questions

Tabitha's truck gets between 21 and 24 miles
Per gallon. The truck's fuel tank holds 20 gallons
of
gas.
What farthest reasonable distance that
Tabitha can expect to drive on a full tank of gas?
A) 350 miles
B) 400 miles
C) 450 miles
D) 500 miles

Answers

Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450

Your answer is 450 miles

find the area of the circle. radius of the circles is 8 cm

Answers

Answer:

Step-by-step explanation:

r = 8 cm

Area of circle = πr²

                        = 3.14 * 8 * 8

                       = 200.96 cm²

Answer:

201.06

Step-by-step explanation:

π•8²

PLEASE HELP PLEASE ILL GIVE BRAINLIEST
YOULL BE MY SAVIOR PLEASE SOMEONE HELP AND SHOW WORK CAUSE I DONT UNDERSTAND

Answers

3.30(15%)-$22= $18.70
8% tax added to $55= $4.40

Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.
​(Type an integer or a simplified​ fraction.)

Answers

this answer will be 55% ok

need by midnight pretty simple i just don't know how to explain it.​

Answers

Answer:

Side x is adjacent to 30° angle.

Correct method is:

cos 30° = x/15 ⇒ x = 15*cos 30° ⇒ x = 12.99

Diego is correct and Steven is wrong.

when finding sine consider the opposite side to the angle, not hypotenusewhen finding cosine consider adjacent side to the angle, not hypotenuse

Please Answer the question i dont understand

Answers

Answer:

C. -2 degrees

Step-by-step explanation:

Answer:

the answer would be c. -2 degrees

Step-by-step explanation:

3 - 5 = -2

have a great day

What is the cube root of -729a^9 b^6?

Answers

Answer:

[tex]-9a^3b^2[/tex]

Step-by-step explanation:

Your Welcome!

Help what is the answer ?? What is the is the translation coordinate

Answers

Answer: (x - 3, y - 6) or S(-5 -3, 6 -6)

First we have to figure out how many spaces left to right (x-axis) and how many spaces up and down (y-axis) will get us to S'

x-axis: -5 - 3 = -8

y-axis: 6 - 6 = 0

Now we just add this to the original coordinate to give us the translation coordinate:

S(-5, 6) → S(-5 -3, 6 -6)

An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third angle of this isosceles triangle in degrees?

Answers

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

t + 78° = 180°

t = 180° - 78°

t = 102°

The third angle is 102°.

find the value of given expression !!

[tex] \sqrt{45 \times 2 - {3}^{2} } [/tex]
​

Answers

Answer:

the answer is 9

I hope it helps

have a great day

#Captainpower

Find the midpoint of the segment with the following endpoints.
(8,1) and (5,7)

Answers

The midpoint would be (13/2 , 4)

Answer:

(6.5,4) is your mid point

Step-by-step explanation:

PLZ HELP ME QUESTIONS 2 AND 3 DUE BY 10 AM I WILL GIVE BRAINLIEST

Answers

M(-1,5) to (-1,-5)
D(1,5) to (-1,5)
A(4,3) to (4,-3)
W(-1,4) to (-1,-4)

B(-4,1) to (-1,-4)
X(-3,-2) to (2,-3)
N (-5,-4) to (4,-5)

If the original price of an item is $70 and it is marked down 20%, what is the NEW PRICE?

Answers

The new price will be 56

Answer:

$56

Step-by-step explanation:

1.) Find the value of 20% of $70 (which is $14.).

2.)  subtract $14 from $70.

please help out it for my math homework and I sure do have more questions

Answers

Answer:

30°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

[tex]x = 180-97-53[/tex]

[tex]x=30[/tex]

Answer:

Soln:

x+53+97=180(sum of interior angle of a triangle is 180)

or,x+150=180

or,x=180-150

or,x=30

Hence, the value of x is 30.

Find the term a8 for the sequence 6, 24, 96, ....

Answers

The answer is 384 then 1536 so u see it’s multiple by 4 keep it on

3/10 divied by 2/7 pls help

Answers

Answer:

21/20

Step-by-step explanation:

Answer:

1.05 or  21/20 or 105% or

Step-by-step explanation:

Which of the following is rewriting 272/3

Answers

Answer:

how to reduce (simplify) fraction 272/3 to lowest terms? Write it as an improper fraction, a mixed number, a decimal number, a percentage

Step-by-step explanation:

Can someone please help me with this math problem:):)

Answers

Answer:

8.5 or 8  1/2

Step-by-step explanation:

8.5 I think I’m not very sure

y = x+1
3x + y = -7
Plot two lines by clicking the graph.
Click a line to delete it.
10
Solution:
Submit Answer

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
−
2
,
−
1
)
(
-
2
,
-
1
)
Equation Form:
x
=
−
2
,
y
=
−
1


Danielle's pool table is 5 feet wide and 8 feet long. Danielle wants to replace the felt on
the pool table. The felt costs $2.20 per square foot. How much would it cost in total to
replace the felt on the pool table?

Answers

Answer:

$88

Step-by-step explanation:

cost to replace the felt = Area of a rectangle x felt cost per square foot

Area = length x width

5 x 8 = 40

cost of replacement = 40 x 2.2 = 88

What’s the answer to this?!!!

Answers

Answer:

x = 10

Step-by-step explanation:

The figure is symmetrical, so 7x+5 = 9x - 15

7x + 5 = 9x - 15

5 = 2x - 15

20 = 2x

x = 10

Note that the figure is not drawn to scale, but computations don't lie :)

what is the slope of [-4, -2, ] [ -3, -4 ]

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Complete the table to describe the model.

The model will have a verbal description, a division expression, and a fraction.

Answers

is there supposed to be a picture??!

PLEASE HELP

Answers

Answer:

(a+b)^2+(a-b)^2=2(a^2+b^2)

expanding:

a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²

2a² + 2b² = 2a² + 2b²

Answer:

with what?

Step-by-step explanation:

8
What number should go in the box? 22572=20000+2000+500+0+2

Answers

Answer:

Step-by-step explanation:

70 is missing , but so is a box   ????

HELPPPPP pleaseeeeeee due in 20 minutes please hurryyy​

Answers

Answer:

The answer is 70

Step-by-step explanation:

Bonnie and 3 of her friends want to buy a TV for their new apartment that costs $349.99.

Answers

I don’t know exactly what you’re asking, but if they are splitting the cost it would be 349.99 divided by 4, which is 87.49 (87.50)

Dada la función d(x) = 3x - 4, ¿Qué sucede con su representación gráfica si m disminuye 3 unidades?

Answers

Answer:

Si la pendiente ([tex]m[/tex]) disminuye 3 unidades, entonces tenemos que [tex]y = -4[/tex].

Step-by-step explanation:

Sea la función lineal [tex]d(x) = 3\cdot x - 4[/tex], una función está definida por la siguiente expresión matemática:

[tex]y = m\cdot x + b[/tex] (1)

Donde:

[tex]x[/tex] - Variable independiente.

[tex]y[/tex] - Variable dependiente.

[tex]m[/tex] - Pendiente.

[tex]b[/tex] - Intercepto.

Por comparación directa, tenemos que [tex]y = d(x)[/tex], [tex]m = 3[/tex] y [tex]b = -4[/tex]. Si [tex]m[/tex] disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:

[tex]y = -4[/tex]

What is the solution to the equation x + 8 = 12? *

X=4
X=16
X= 20
X= -4

Answers

Answer: x=4

Step-by-step explanation:

x+8=12

x+8-8=12-8=4

x=4

x+8=12
x=12-8
12-8=4 which mean x=4

Whats the common ratio of the geometric sequence 6, 36, 216,

Answers

Answer:

Common ratio is 6.

Step-by-step explanation:

The geometric sequence is being multiplied by 6 each time because 6x6=36, and 36x6=216.

Answer: Find the common ratio of the geometric sequence 6, 36, 216,...6,36,216,...

a_1=6                                       a_2=36                               a_3=216

a

1

​

=6a

2

​

=36a

3

​

=216

\text{Common Ratio:}

Common Ratio:

r=\frac{a_2}{a_1}

r=

a

1

​

a

2

​

​

r=\frac{36}{6}

r=

6

36

​

r=6

r=6

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